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in this video were going to focus on writing equations of lines that are parallel and perpendicular to a given line but pass them to a point so lets say if we have the equation y is equal to 2x plus one and we wanna write the equation of a line thats parallel to the line y equals two x plus one and that passes through the point one comma five how can we do it well for this particular example lets use the slope intercept form which is y is equal to mx plus b m represents the slope which is rise over run and b is the y-intercept so for this particular example you need to realize that the slope of the other line is two and parallel lines have the same slope so the slope of the line that were trying to find also has a value of two so lets replace m with two now what we need to solve for is b the y intercept so lets plug in x and y so lets replace y with five and x with one so we have five is equal to two plus b so to solve for b we need to subtract two from both sides so five minu